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Simplifying 2c5(8c2 + -7) = 0 Reorder the terms: 2c5(-7 + 8c2) = 0 (-7 * 2c5 + 8c2 * 2c5) = 0 (-14c5 + 16c7) = 0 Solving -14c5 + 16c7 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c5'. 2c5(-7 + 8c2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'c5' equal to zero and attempt to solve: Simplifying c5 = 0 Solving c5 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7 + 8c2)' equal to zero and attempt to solve: Simplifying -7 + 8c2 = 0 Solving -7 + 8c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8c2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8c2 = 0 + 7 8c2 = 0 + 7 Combine like terms: 0 + 7 = 7 8c2 = 7 Divide each side by '8'. c2 = 0.875 Simplifying c2 = 0.875 Take the square root of each side: c = {-0.935414347, 0.935414347}Solution
c = {-0.935414347, 0.935414347}
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